Question
Subtract:$\frac{4}{15}$ from $2\frac{1}{5}$
✓
Answer
$\because2\frac{1}{5}=\frac{2\times5+1}{5}=\frac{11}{5}$
$\frac{11}{5}-\frac{4}{15}$
LCM of 5 and 15 is 15, so we will convert each fraction into an equivalent fraction with denominator 15.
$=\frac{11\times3}{5\times3}-\frac{4\times1}{15\times1}$
$=\frac{33}{15}-\frac{4}{15}$
$=\frac{33-4}{15}$
$=\frac{29}{15}$
$\frac{11}{5}-\frac{4}{15}$
LCM of 5 and 15 is 15, so we will convert each fraction into an equivalent fraction with denominator 15.
$=\frac{11\times3}{5\times3}-\frac{4\times1}{15\times1}$
$=\frac{33}{15}-\frac{4}{15}$
$=\frac{33-4}{15}$
$=\frac{29}{15}$
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